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Exercises Equations and inequalities

Example 2.65 from Elementary Algebra, 2.6 Solve a Formula for a Specific Variable

Solve a Formula for a Specific Variable: example 2.65

Solve the formula $6 x + 5 y = 13$ for y.

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Solution

Subtract $6 x$ from both sides to isolate the term with $y$ .

Simplify.

Divide by 5 to make the coefficient 1.

Simplify.

The fraction is simplified. We cannot divide $13 - 6 x$ by 5.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Solve the formula $4 x + 7 y = 9$ for y.

How did it go?

PreviousSolve a Formula for a Specific Variable: example 2.61 Next Solve Linear Inequalities: example 2.66

From Elementary Algebra (1st edition) by OpenStax (Rice University), section 2.6, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.